| GENERAL |
|
|
|
|
Periodic, Quasiperiodic and Chaotic q-Breathers in a Fermi-Pasta-Ulam Lattice |
XU Quan1,2, TIAN Qiang2 |
| 1Department of Physics, Daqing Normal University, Daqing 1637122Department of Physics, Beijing Normal University, Beijing 100875 |
|
| Cite this article: |
|
XU Quan, TIAN Qiang 2010 Chin. Phys. Lett. 27 020505 |
|
|
|
Abstract We study the features of a single q-breather (SQB) in a Fermi-Pasta-Ulam lattice by the numerical method, and obtain that the stability of SQB correlates to coupling constant K and nonlinear parameter β. No matter whether K or β increases, the periodic SQB can be transformed into a quasiperiodic SQB or a chaotic SQB. We also obtain the conditions of excitation of periodic, quasiperiodic and chaotic SQBs.
|
| Keywords:
05.45.Xt
02.30.Jr
63.20.Pw
63.20.Ry
|
|
|
Received: 21 October 2009
Published: 08 February 2010
|
|
|
|
|
|
|
|
[1] Fermi E, Pasta J and Ulam S 1955 Los Alamos Report La-1940
[2] Mackay R S and Aubry S 1994 Nonlinearity 7 1623
[3] Takeno S, Kisoda K and Sievers A J 1988 Prog. Theor. Phys. Suppl. 94 242
[4] Bickham S R, Kiselev S A and Sievers A J 1993 Phys. Rev. B 47 14206
[5] Cretegry T, Livi R and Spicci M 1998 Physica D 119 88
[6] James G and Noble P 2004 Physica D 196 124
[7] Hornguist M, Lennholm E and Basu C 2000 Physica D 136 88
[8] Maniadis P, Zolotaryuk A V and Tsironis G P 2003 Phys. Rev. E. 67 046612
[9] James G and Kastner M 2007 Nonlinearity 20 631
[10] Ullmann K, Lichtenberg A J and Corso G 2000 Phys. Rev. E. 61 2471
[11] Gershgorin B, Lvov Y V and Cai D 2005 Phys. Rev. Lett. 95 264302 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
